@Article{AAMM-11-241, author = {Li , Youai}, title = {Lower Bounds of Eigenvalues of the Stokes Operator by Nonconforming Finite Elements on Local Quasi-Uniform Grids}, journal = {Advances in Applied Mathematics and Mechanics}, year = {2019}, volume = {11}, number = {1}, pages = {241--254}, abstract = {

This paper is a generalization of some recent results concerned with the lower bound property of eigenvalues produced by both the enriched rotated $Q_1$ and Crouzeix-Raviart elements of the Stokes eigenvalue problem. The main ingredient is a novel and sharp $L^2$ error estimate of discrete eigenfunctions, and a new error analysis of nonconforming finite element methods.

}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.OA-2018-0061}, url = {http://global-sci.org/intro/article_detail/aamm/12930.html} }